We study prompt $J/\psi$-meson hadroproduction invoking the hypothesis of gluon Reggeization in $t$-channel exchanges at high energy and the factorization formalism of nonrelativistic quantum chromodynamics at the leading order in the strong-coupling constant ${\alpha }_s$ and the relative velocity of quarks $v$. The transverse-momentum distribution of direct and prompt $J/\psi$-meson production measured at the Fermilab Tevatron fitted to obtain the nonperturbative long-distance matrix elements, which are used to predict prompt $J/\psi$ production spectra at the CERN LHC. At the numerical calculation, we adopt the Kimber-Martin-Ryskin and Blümlein prescriptions to derive unintegrated gluon distribution function of the proton from their collinear counterpart, for which we use the Martin-Roberts-Stirling-Thorne set. Without adjusting any free parameters, we find good agreement with measurements by the ATLAS, CMS and LHCb Collaborations at the LHC at the hadronic c.m. energy $\sqrt{S}=7\mathrm{TeV}$.

• Received 16 December 2011

DOI:https://doi.org/10.1103/PhysRevD.85.074013